Functional Estimation of a Density Under a New Weak Dependence Condition

The purpose of this paper is to prove, through the analysis of the behaviour of a standard kernel density estimator, that the notion of weak dependence defined in a previous paper (cf. Doukhan & Louhichi, 1999) has sufficiently sharp properties to be used in various situations. More precisely we investigate the asymptotics of high order losses, asymptotic distributions and uniform almost sure behaviour of kernel density estimates. We prove that they are the same as for independent samples (with some restrictions for a.s. behaviours). Recall finally that this weak dependence condition extends on the previously defined ones such as mixing, association and it allows considerations of new classes such as weak shifts processes based on independent sequences as well as some non-mixing Markov processes.     

非线性混沌经济时序的预测方法及其应用研究

主要研究由非线性混沌经济时序所确定的动力系统的预测方法及其应用 ,通过改进的最优化方法来估计模型的参数 ,并在其相空间中对时序的未来值进行预测 .给出有代表性的实例对模型和算法进行验证 ,结果发现选取最佳的模型阶数能增加预测的准确程度 ,且混沌时序不可能进行长期的预测     

关于两类相关列加权和的稳定性

本文讨论了两两PQD列及两两NQD列两类相关列的加权和的稳定性。     

关于NA列的若干极限定理

本文将独立随机变量列的若干极限定理：级数的收敛定理和强大数律定理推广至列的场合。     

核酸序列的亲─—疏水表示与相关分析

把核酸序列表示为单核苷酸──疏水标度序列并定义了相关函数．把核酸序列分为10大类，求出了每一类序列中外显子部分与内含子部分各阶相关函数的平均值．结果表明，相关函数平均值与生物进化有明显相关性．外显子部分有明显的3，6，9……阶正相关；内含子部分有明显的2，4……阶相关．     

Turbulent dynamics in a Xviith century population

A reconstruction of the population of the Pays de Caux (1589–1700) yields the time series of a fertility behavior indicator, the overall Coale index If. In spite of the noisy appearance of its evolution, the trajectory of If looks ordered, as if it were confined alternatively to two given zones, looping in each of them for a while, then suddenly jumping from the low one to the higher one, or slowly whirling down from the high to the low one.

An attempt is made to explain this general temporal structure by using a simulation model based on the autoregulation model (the so‐called European Marriage Pattern), putting into play a choice of the spouse function, a fertility function, modalities of marriage and remarriage, under the environmental forcing of the reconstructed mortality conditions.

The correspondence between reconstruction and simulation turns out to be quite good, not only for the population size or the Coale index, but also for the marriage series, quite independently of the reconstructioa

A second simulation with simulated mortality conditions shows a bifurcation point: as the mean frequency of crisis increases, the state of the system leaves the lower level and concentrates more and more in the higher level.

Thus, not only does the autoregulator model appear validated by empirical data, but its bi‐modal structure is revealed, depicting the dynamic response of a traditional community both to the environment and to the endogeneous demographic process.     

一类大集合p元低相关序列集的线性复杂度研究

构造具有大线性复杂度和大集合容量的p元低相关序列集对码分多址(CDMA)通信系统具有重要的意义。采用Klapper的方法,利用d-型函数,构造了一类具有大集合容量的p元低相关序列集S(r)。该序列集的集合容量为p2n,序列的周期为p n-1,相关函数的最大边峰值为4 p n2-1。利用Key的方法,证明了当p=3或p=5该序列集的最小和最大线性复杂度分别为2n2-2n和3n2-1×2n2-2n;而当p>5时,证明了其线性复杂度的最大和最小值分别大于3n4-1×2n4-2n和2n4-2n。该序列集能极大地提高CDMA通信系统的安全性。     

论教育现代化的逻辑起点和因果链

我们正处在一个全新的以最新科技和人类知识精华为基础的知识经济时代，它给人的全面发展带来了难得的机遇和条件，同时也对人的素质和能力提出了挑战和高要求。从教育现代化的逻辑起点和因果链对我国教育进行分析和阐述，对于改革传统教育，实现教育现代化，培养未来世纪新人具有重要的理论指导作用和现实意义。